All categories

3 years ago

Sara has a circular fence around her dog house. Each day when she comes home from

Mathematics

1 answer:

larisa86 [58]3 years ago

8 0

Answer:

226.2 feet

Step-by-step explanation:

The fence around the dog's house is a circle, with a radius of 12 meters.

To calculate the distance the dog runs, we need to find the circumference of that circle, which is given by the formula:

C = 2 π r, since we know r, the calculation is easy:

C = 2 π 12 = 24 π = 75.4 feet.

The dog makes three laps around the circle before calming down... so he runs 3 times 75.4 feet.

Dogs run = 3 x 75.4 ft = 226.2 feet

You might be interested in

A swimming pool is being drained so it can be cleaned. The amount of water in the pool is changing according to the función f(t)

TiliK225 [7]

Answer:

0 ≤ t ≤ 5.

Step-by-step explanation:

In the function $f(t)$ , $t$ is the independent variable. The domain of $f$ is the set of all values of $t$ that this function can accept.

In this case, $f(t)$ is defined in a real-life context. Hence, consider the real-life constraints on the two variables. Both time and volume should be non-negative. In other words,

$t \ge 0$ .
$f(t) \ge 0$ .

The first condition is an inequality about $t$ , which is indeed the independent variable.

However, the second condition is about $f$ , the dependent variable of this function. It has to be rewritten as a condition about $t$ .

$\begin{aligned} f(t) &\ge 0 &&\text{Assumption} \cr 80000 - 16000\, t& \ge 0 && \text{Definition of} ~ f \cr 80000 & \ge 16000\, t && \begin{aligned}&\text{Add $16000\, t$} \\[-0.5em] & \text{to both sides of the inequality}\end{aligned} \cr 5 &\ge t &&\begin{aligned}&\text{Divide both sides of} \\[-0.5em] & \text{the inequality by $16000$}\end{aligned} \cr t &\le 5 && \text{Flip the inequality}\end{aligned}$ .

Hence, t ≤ 5.

Combine the two inequalities to obtain the domain:

0 ≤ t ≤ 5.

6 0

2 years ago

Given that the prime factorisation of 198 is 2x(3×3)x11. State the minimum integer value of

mylen [45]

Answer:

Step-by-step explanation:

198 = 2×3²×11

For 198n to be a perfect square, each prime factor must have an even exponent. So the smallest 198n would be:

198n = 2²×3²×11²

198n = 4356

n = 22

7 0

3 years ago

Suppose you are asked to find the area of a rectangle that is 2.1-cm wide by 5.6-cm long. Your calculator answer would be 11.76

IRINA_888 [86]

Answer:

The area of the rectangle is 12 cm² (to two significant figures)

Step-by-step explanation:

To determine the area of a rectangle that is 2.1-cm wide by 5.6-cm long,

The area of a rectangle is given by

Area = l × w

where l is the length

and w is the width

From the question,

l = 5.6 cm

and w = 2.1 cm

Hence, Area of the given rectangle will be

Area = 5.6 cm × 2.1 cm

Area = 11.76 cm²

Now, we will convert the answer to two significant figures

Then,

Area = 12 cm²

Hence, the area of the rectangle is 12 cm² (to two significant figures)

3 0

2 years ago

6th grade math help me, please:)))

Lesechka [4]

Step-by-step explanation:

Hi there!!! 

The answer is option A. 

reason look in picture. 

if you want to solve it just cross multiply it,

 $60x = 240000 \times 100$ 

or,

 $x = 24000000 \div 60$ 

and the answer would be 400000.

Hope it helps...

5 0

3 years ago

Simplify: -16b4 + (-18b4)

GuDViN [60]

Answer:

-34b4

Step-by-step explanation:

Since the variables are the same b4, you just add the constants (-16 & -18).

4 0

1 year ago